Quadrupolar radiation in de Sitter: Displacement memory and Bondi metric

Abstract

We obtain the closed form expression for the metric perturbation around de Sitter spacetime generated by a matter source below Hubble scale both in generalized harmonic gauge and in Bondi gauge up to quadrupolar order in the multipolar expansion, including both parities (i.e. both mass and current quadrupoles). We demonstrate that such a source causes a displacement memory effect close to future infinity that originates, in the even-parity sector, from a $\Lambda$-BMS transition between the two non-radiative regions of future infinity.

40 pages, typos corrected, matches published version in CQG

References in corpus (7)

• The NANOGrav 15-year Data Set: Evidence for a Gravitational-Wave Background
• New symmetries for the Gravitational S-matrix
• The Asymptotic Behavior of Massless Fields and the Memory Effect
• The Cosmological Memory Effect
• Multipole Expansion of Gravitational Waves: from Harmonic to Bondi coordinates
• Classical radiation by free-falling charges in de Sitter spacetime
• On a basic conceptual confusion in gravitational radiation theory

Cited by in corpus (9)

• The partial Bondi gauge: Gauge fixings and asymptotic charges
• Analysis of gravitational radiation generated by type D black holes with positive cosmological constant
• Radiation in Fluid/Gravity and the Flat Limit
• Linearized gravity and soft graviton theorem in de Sitter spacetime
• Field-dependent diffeomorphisms and the transformation of surface charges between gauges
• Perturbative soft graviton theorems in de Sitter spacetime
• Using thermodynamics to learn gravitational wave physics
• Dynamical axisymmetric compact objects in General Relativity
• Lectures on the Bondi--Metzner--Sachs group and related topics in infrared physics